'Proof' of L'Hospital's Rule

In this video I showed a simplified 'proof' of L'Hoc pital's Rule using the definition of the derivative.

[victormohlala]

Can't believe i lost 8 marks for such a simple proof😭😭

[magdishan]

really useful and not complicated, Thanks sir

[Bedoroski]

Beautifully explained. Thank you so much

[prostatecancergaming]

Hands down best proof on the internet. Thank you so much!

[BeauGeorge]

Thank you! I’ve had difficulty in understanding L’hopital’s rule, and your tutorial is a big step in the right direction.

[naimamiola]

Thank you so much for this video it has helped me so much, glad you made it :)

[utuberaj]

Superb Mr Newton. Never seen such simple proof like this.
You are making calculus look like driving a car❤.
God bless

[sinayusuf]

Do this proof in a math class 1 exam, you will get zero obviously. But if you do this proof in a k12 class, they will think that you are genius

[mathtips]

Dear sir.

Very Good evening.

The explanation part is excellent.

The spelling of the rule is to be corrected as I guess.

It is L'HOPITAL'S RULE with a hat symbol over O.

[hasinmazumder]

The most soluble and miscible proof and the smoothest of logical derivation for a simplified, yet atomic scale interpretation and visualization. Absolutely stupendous!!!

[kingbeauregard]

I believe in L'Hopital's rule, and I believe in your proof. I am still working on understanding why it makes sense in concept, and I'm almost there.

If both numerator and denominator are racing toward infinity, the question is which one gets there faster. In other words, how do their derivatives compare. And since we're heading to infinity, any finite conditions (for example, a constant added to the top or bottom) cease to matter. I think my logic holds up.

But when it's 0/0, my logic is a little flimsier. I feel like, if your function is approaching zero, then the reciprocal of your function is approaching infinity, so the same "infinity" logic might apply. But I haven't convinced myself that it's a valid argument.

[kawambwadaniel-kd]

The handwriting is perfect makes everything so clear

[peacemaker]

You should uae "=" equal not the "=>" if then.. infact every line should started with " <=>" if and only if

[perspicacity]

Oh my God, thank you so much! This video helped me understand the proof so much more easily! Thank you! Fantastic video!

[HenriqueOliveira-soum]

Amazing explantion! It helped me a lot to undertand the concept and solve my limits homework! Thank you so much and keep doing it!

[keithrobinson]

Nice proof. 9:59 Aye. I've seen this before!

[timonbubnic]

U gotta be joking me with this shit. Its all totally wrong, you didnt even prove anything much less L'hospital's rule lol. You proved lim x->a of (f(x) / g(x)) = f'(x) / g'(x), this has nothing to do with lhospital, you would need a limit there not just 2 derivatives

[jysusplash]

Just as I was trying to understand better L'hopital rule I found your proof, really helped me understand by using the definition of derivative with lim, tysm, wish you the best! :)

[franklin-jnqe]

Great proof! But I wonder what if f(a)=g(a)=∞? ∞/∞ is also a indeterminate.

[rogerkearns]

Dividing by x-a, here, seems disturbingly close to zero division - but I suppose that's what differentiation always is, anyway. ;)